Least Common Multiple of 1627 and 1634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1627 and 1634 the smallest integer that is 2658518 that is divisible by both numbers.

Least Common Multiple (LCM) of 1627 and 1634 is 2658518.

LCM(1627,1634) = 2658518

LCM of 1627 and 1634

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1627 and 1634

LCM of 1627 and 1634 is 2658518

Least common multiple can be found by multiplying the highest exponent prime factors of 1627 and 1634. First we will calculate the prime factors of 1627 and 1634.

Prime Factorization of 1627


1627 1627
1

Prime factors of 1627 are 1627. Prime factorization of 1627 in exponential form is:

1627 = 16271

Prime Factorization of 1634


2 1634
19 817
43 43
1

Prime factors of 1634 are 2, 19,43. Prime factorization of 1634 in exponential form is:

1634 = 21×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1627 and 1634.

LCM(1627,1634) = 21×191×431×16271
LCM(1627,1634) = 2658518

Factors of 1627

List of positive integer factors of 1627 that divides 1627 without a remainder.

1, 1627

Factors of 1634

List of positive integer factors of 1634 that divides 1634 without a remainder.

1, 2, 19, 38, 43, 86, 817, 1634

Least Common Multiple of 1627 and 1634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1627 and 1634, than apply into the LCM equation.

GCF(1627,1634) = 1
LCM(1627,1634) = ( 1627 × 1634) / 1
LCM(1627,1634) = 2658518 / 1
LCM(1627,1634) = 2658518

Properties of LCM 1627 and 1634

(i) The LCM of 1634 and 1627 is associative

LCM of 1627 and 1634 = LCM of 1634 and 1627

Related Least Common Multiples of 1627

Related Least Common Multiples of 1634

Frequently Asked Questions on LCM of 1627 and 1634

1. What is the LCM of 1627 and 1634?

Answer: LCM of 1627 and 1634 is 2658518.

2. What are the Factors of 1627?

Answer: Factors of 1627 are 1, 1627. There are 2 integers that are factors of 1627. The greatest factor of 1627 is 1627.

3. What are the Factors of 1634?

Answer: Factors of 1634 are 1, 2, 19, 38, 43, 86, 817, 1634. There are 8 integers that are factors of 1634. The greatest factor of 1634 is 1634.

4. How to Find the LCM of 1627 and 1634?

Answer:

Least Common Multiple of 1627 and 1634 = 2658518

Step 1: Find the prime factorization of 1627

1627 = 1627

Step 2: Find the prime factorization of 1634

1634 = 2 x 19 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2658518 = 2 x 19 x 43 x 1627

Step 4: Therefore, the least common multiple of 1627 and 1634 is 2658518.